This work focuses on the numerical solution of a singularly perturbed time-fractional parabolic delay reaction-diffusion problem using a fitted B-spline collocation technique. Applying the Caputo fractional derivative sense, an implicit Euler’s technique is used to discretize the time direction. The space direction is handled by a fitted B-spline collocation technique. An established convergence analysis of the method demonstrates that the proposed method attains O(h2 + (Δt2–α)) accuracy. The effectiveness of the study is examined through the investigation of two model examples. The results produced by tables and figures show that the scheme is uniformly convergent and possesses two layers near the end of the space domain.